Deck 18: Energy Storage

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A superconducting magnetic energy storage coil has 10,000 turns of wire, A superconducting magnetic energy storage coil has 10,000 turns of wire,  <div style=padding-top: 35px>
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A steel flywheel in the form of a solid disk has a radius of 0.2 m and a A steel flywheel in the form of a solid disk has a radius of 0.2 m and a  <div style=padding-top: 35px>
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Consider the possibility of constructing a vehicle that operates on Consider the possibility of constructing a vehicle that operates on  <div style=padding-top: 35px>
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Energy is extracted from a flywheel with an initial rotational frequency of Energy is extracted from a flywheel with an initial rotational frequency of    <div style=padding-top: 35px> Energy is extracted from a flywheel with an initial rotational frequency of    <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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Compare the following energies
(a) The rotational energy of the earth (rotating on its axis)
(b) The kinetic energy of the earth (in its orbit around the sun)
(c) The rotational energy of the sun (rotating on its axis)
(d) The kinetic energy of the moon (in its orbit around the earth)
Consider all bodies as solid spherical objects with uniform density, and consider all orbits
as circular. Masses, diameters, orbital dimensions, and rotational periods are readily
available on the web.
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It is common for homeowners to store thermal energy (e.g., from solar It is common for homeowners to store thermal energy (e.g., from solar  <div style=padding-top: 35px>
Question
A pumped hydroelectric storage reservoir has an area of 1 km2 and an
average depth of 30 m. The water flows to a lower reservoir with a head of 150 m.
(a) What is the total energy available in MWhe? Assume a generator efficiency of 85%.
(b) What is the average power available (in megawatts) if the upper drains through the
turbines over a period of 12 hours?
Question
Consider solid cylindrical flywheels with the diameter equal to the length. Consider solid cylindrical flywheels with the diameter equal to the length.  <div style=padding-top: 35px>
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Other materials (in addition to those given in Table 18.3) have properties Other materials (in addition to those given in Table 18.3) have properties  <div style=padding-top: 35px>
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The total volume of the upper reservoir of a pumped hydroelectric facility The total volume of the upper reservoir of a pumped hydroelectric facility  <div style=padding-top: 35px>
Question
When the Bath County Pumped Hydroelectric Facility is generating
electricity at maximum output, what is the velocity of the water flowing through the
penstocks?
Question
A pumped hydroelectric facility has an upper reservoir with an area of 2 A pumped hydroelectric facility has an upper reservoir with an area of 2  <div style=padding-top: 35px>
Question
(a) Assuming that the earth is a solid sphere of uniform density, calculate (a) Assuming that the earth is a solid sphere of uniform density, calculate  <div style=padding-top: 35px>
Question
The requirements for an ideal location for a pumped hydroelectric storage The requirements for an ideal location for a pumped hydroelectric storage  <div style=padding-top: 35px>
Question
Design a steel flywheel-based electricity backup system to provide 1 day of
typical electricity use for a single-family home (no electric heat). Assume that 70% of the
maximum theoretical energy storage capacity is available and can be converted to
electricity at 90% efficiency.
Question
A compressed air energy storage facility operates between a pressure of A compressed air energy storage facility operates between a pressure of  <div style=padding-top: 35px>
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The world's largest pumped hydroelectric facility in Bath County, Virginia, The world's largest pumped hydroelectric facility in Bath County, Virginia,  <div style=padding-top: 35px>
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A small pumped hydroelectric facility has a mean head of 50 m. The A small pumped hydroelectric facility has a mean head of 50 m. The  <div style=padding-top: 35px>
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For large-scale electric storage for the grid, a capacity in the order of 1 GWh For large-scale electric storage for the grid, a capacity in the order of 1 GWh  <div style=padding-top: 35px>
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Deck 18: Energy Storage
1
A superconducting magnetic energy storage coil has 10,000 turns of wire, A superconducting magnetic energy storage coil has 10,000 turns of wire,
2
A steel flywheel in the form of a solid disk has a radius of 0.2 m and a A steel flywheel in the form of a solid disk has a radius of 0.2 m and a
(a) From equation (18.10) (a) From equation (18.10)   so  so (a) From equation (18.10)   so
3
Consider the possibility of constructing a vehicle that operates on Consider the possibility of constructing a vehicle that operates on
From equation (18.4), From equation (18.4),
4
Energy is extracted from a flywheel with an initial rotational frequency of Energy is extracted from a flywheel with an initial rotational frequency of    Energy is extracted from a flywheel with an initial rotational frequency of
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5
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6
Compare the following energies
(a) The rotational energy of the earth (rotating on its axis)
(b) The kinetic energy of the earth (in its orbit around the sun)
(c) The rotational energy of the sun (rotating on its axis)
(d) The kinetic energy of the moon (in its orbit around the earth)
Consider all bodies as solid spherical objects with uniform density, and consider all orbits
as circular. Masses, diameters, orbital dimensions, and rotational periods are readily
available on the web.
Unlock Deck
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7
It is common for homeowners to store thermal energy (e.g., from solar It is common for homeowners to store thermal energy (e.g., from solar
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8
A pumped hydroelectric storage reservoir has an area of 1 km2 and an
average depth of 30 m. The water flows to a lower reservoir with a head of 150 m.
(a) What is the total energy available in MWhe? Assume a generator efficiency of 85%.
(b) What is the average power available (in megawatts) if the upper drains through the
turbines over a period of 12 hours?
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9
Consider solid cylindrical flywheels with the diameter equal to the length. Consider solid cylindrical flywheels with the diameter equal to the length.
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10
Other materials (in addition to those given in Table 18.3) have properties Other materials (in addition to those given in Table 18.3) have properties
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11
The total volume of the upper reservoir of a pumped hydroelectric facility The total volume of the upper reservoir of a pumped hydroelectric facility
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12
When the Bath County Pumped Hydroelectric Facility is generating
electricity at maximum output, what is the velocity of the water flowing through the
penstocks?
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13
A pumped hydroelectric facility has an upper reservoir with an area of 2 A pumped hydroelectric facility has an upper reservoir with an area of 2
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14
(a) Assuming that the earth is a solid sphere of uniform density, calculate (a) Assuming that the earth is a solid sphere of uniform density, calculate
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15
The requirements for an ideal location for a pumped hydroelectric storage The requirements for an ideal location for a pumped hydroelectric storage
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16
Design a steel flywheel-based electricity backup system to provide 1 day of
typical electricity use for a single-family home (no electric heat). Assume that 70% of the
maximum theoretical energy storage capacity is available and can be converted to
electricity at 90% efficiency.
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Unlock for access to all 20 flashcards in this deck.
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17
A compressed air energy storage facility operates between a pressure of A compressed air energy storage facility operates between a pressure of
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18
The world's largest pumped hydroelectric facility in Bath County, Virginia, The world's largest pumped hydroelectric facility in Bath County, Virginia,
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19
A small pumped hydroelectric facility has a mean head of 50 m. The A small pumped hydroelectric facility has a mean head of 50 m. The
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20
For large-scale electric storage for the grid, a capacity in the order of 1 GWh For large-scale electric storage for the grid, a capacity in the order of 1 GWh
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